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Finding the Fourth Proportional to 2,678.21, 4,017.17 and 730.27

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Solution

The fourth proportional to 2,678.21, 4,017.17 and 730.27 is: 1,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.21 : 4,017.17 = 730.27 : x
  2. Step 2: Convert to fraction form
    2,678.21/4,017.17 = 730.27/x
  3. Step 3: Cross multiply
    2,678.21x = 4,017.17 × 730.27
  4. Step 4: Simplify right side
    2,678.21x = 2,933,600.93
  5. Step 5: Solve for x
    x = 2,933,600.93/2,678.21
  6. Step 6: Final answer
    x = 1,095.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.